SECTION A; Answer all the questions

1. For an object moving with uniform acceleration, the velocity v is given by the equation v2 = p + qx, where p and q are constants and x is a variable.What are the dimensions of the term qx?

A L B LT-1 C LT-2 D L2T-2

2. A ball is thrown vertically upwards. The upward direction is considered the positive direction. Assuming that air resistance is negligible, which of the following statements is correct?A When the ball is at the highest point, its acceleration is zero B Its velocity is negative during the upward and downward motions.C Its acceleration is negative during the upward and downward motions.D Its displacement from the point of projection is negative during the upward and downward motions

3. A car of mass 1250 kg accelerates from 0 to 100 km h-1 in 4.0 s. The average power of the car isA 121 kW B 341 kW C 484 kW D 681 kW

4. A particle moves with constant speed in a horizontal circle. Which of the following quantities is zero?A Angular velocityB Angular accelerationC Centripetal accelerationD Resultant force

5. A bicycle wheel of radius 0.2 m can rotate freely about a fixed axis. A constant force of 3 N is applied tangentially to the wheel for 0.4 s. The wheel starts to rotate from rest and its moment of inertia about the axis of rotation is 0.5 kg m2. What is its angular velocity after 0.4 s?

A 0.12 rad s-1 B 0.48 rad s-1 C 0.20 rad s-1

D 0.60 rad s-1

6. The figure shows a rod pivoted at point P on a smooth horizontal surface.

Two forces, each of magnitude 5.0 N acting in opposite directions, are applied at the two ends of the rod. The resultant torque on the rod is

A 2.5 N m B 12.5 N m C 21.7 N m D 25.0 N m

7. If the gravitational field strength at a certain area is uniform. which of the following statements is true?

A No work is done when a mass is displaced in that area..B The gravitational field strength is the same at all points in that area..C The gravitational potential is the same at all points in that area.D The gradient of the gravitational field strength is of the same magnitude as the gravitational potential..

8. The graph shows the variation of the acceleration a with displacement x of a particle performing simple harmonic motion..

The frequency of oscillation of the simple harmonic motion is

A 0.87 Hz C 4.77 HzB 1.15 Hz D 34.41 Hz

9. Which of the following statements about critical damping is true? A No energy is lost from the systemB Only a few oscillations are possible. C The system takes an infinite time to return to equilibrium.D The system does not oscillate but returns easily to its equilibrium position.

10.Which of the following physical quantities has the same dimensions as impulse?

A WeightB Momentum C Work doneD Kinetic energy

11. A fluid flows through a pipe of diameter d and length l. The volume flow rate R is given by

,where c is a dimensionless constant, p the pressure difference between the two

ends of the pipe and the viscosity of the fluid. The unit of in terms of base units is

A kgm C kg m-1s-1

B kg s-2 D kg m-3 s-1

12. For an object moving with uniform acceleration, the velocity v is given by the equation v2 = p + qx, where p and q are constants and x is a variable.What are the dimensions of the term qx? A L C LT-2

B LT-1 D L2T-2

13. The velocity-time (v-t) graph for a car is as shown in the graph..

Which of the following is the displacement-time (s-t) graph for the car?

14. Which one of the following is not a valid example of action and reaction to which Newton's Third Law of Motion applies?

A The forces of attraction between an electron and a proton in a hydrogen atom B The forces of repulsion between two parallel wires carrying currents in opposite directions.C The forces of attraction between two gas molecules passing near each otherD The weight of a satellite and the centripetal force keeping the satellite in orbit

15. When a force of 8 N acts on an object of mass 4 kg for 2 s, what is the rate of change of momentum of the object?

A 2 kgms-2 B 4 kgms-2 C 8 kgms-2 D 16 kg ms-2

16 A transverse periodic wave described by the expression (where y and x are in meters and t is in seconds) is established on a string. Which one of the following statements concerning this wave is false?

A The wave is traveling in the negative x direction.B The amplitude is 1.0 mC The wavelength of this wave is 2.0 m.D The wave travels with speed 5.0 m/s.

17 A loudspeaker at the base of a cliff emits a pure tone of frequency 3000.0 Hz. A man

jumps from rest from the top of the cliff and safely falls into a net below. How far has the man fallen at the instant he hears the frequency of the tone as 3218.0 Hz? The speed of sound is 343 m/s.

A 12.2 m B 15.3 C 31.7 D 46.8

18The physical process not observable for sound waves is

A ReflectionB RefractionC InterferenceD Polarization

19 The graph shows the potential energy curves of two kinds of solid P and Q.

Which among the following statements is not true of P and Q

A Solid P has a higher specific latent heat than that of solid QB Solid P has a higher force constant than that of solid QC The molecular bond in solid P is stronger than or solid QD The molecules of solid P reaches the minimum potential energy at a temperature

lower than that of solid Q

20 The diagram below shows a light rod, of length , hung from the lower ends of the

wires P and Q so that both the wires are vertical. P and Q possess the same natural length and the same natural radius but each possess different Young modulus of

and respectively. A load is placed on the rod at a distance from wire P so that the rod will remain horizontal

P Q

load

Rod X a

What is the value of in terms of , and

A B C D

21

Figure 14.9 shows two isothermals for an ideal gas of fixed mass at temperatures

and . The ratio is

A B C 1 D 4

22 Which of the following shows correctly the relation between the mean speed , the ms speed , and the most probable speed of the molecules of a gas?

A B

C D

23 According to the kinetic theory of gases, the internal energy of an ideal gas is best defined as

A The average kinetic energy of the molecules of gas.B The total kinetic energy of the molecules of gasC The mast probable kinetic energy of the gas moleculesD The total potential energy and the kinetic energy of the molecules of the gas

24 An ideal monoatomic gas with an initial volume of V at the initial pressure of

expands adiabatically to a pressure of . The new volume of gas is

A 4 V B 8 V C 8 V D 32 V

25 Which one of the following statements provides the most convincing evidence that visible light isa form of electromagnetic radiation?

A Two light sources can be coherent.B Light can be reflected from a surface.C Light can be diffracted through an aperture.D Light can form a double-slit interference pattern.

26 A charge q = −4.0 μC is moved 0.25 m horizontally to point P in a region where an electric field is 150 V/m and directed vertically as shown. What is the change in theelectric potential energy of the charge?

A -2.4 x 10-3

B -1.5 x 10-4

C +1.5 x 10-4

D Zero Joules

27 The figure below shows four parallel plate capacitors: A, B, C, and D. Each capacitor carries the same charge q and has the same plate area A. As suggested by the figure, the plates of capacitors A and C are separated by a distance d while those of B and D are separated by a distance 2d.Capacitors A and B are maintained in vacuum while capacitors C and D contain dielectrics with constant κ = 5.

A A B C D C BADCB A B D C D BACD

28 If the work required to move a +0.35 C charge from point A to point B is +125 J, what is the potential difference between the two points?

A ZeroB 44 VC 88 VD 360 V

29 In the circuit below, switch S is connected to position 1 at time t = 0. At the instant t =T, when the voltmeter reading reaches Vo, the switch S is connected to the position 2.

Which of the following graphs shows the variation of the voltmeter reading V with time t?

A

A B

C D

30 Which one of the following statements is true concerning the spacing of the electric field lines in thevicinity of two point charges of equal magnitude and opposite sign?

A It indicates the direction of the electric field.B It does not depend on the magnitude of the charges.C It is large when the magnitude of the charges is large.D It indicates the relative magnitude of the electric field.

31 Which one of the following statements concerning the magnetic force on a charged

particle in amagnetic field is true?

A It is zero if the particle moves perpendicular to the field.B It is a maximum if the particle moves parallel to the field.C It acts in the direction of motion for a positively charged particle.D It depends on the component of the particle's velocity that is perpendicular to the

field.

32 Two electrons are located in a region of space where the magnetic field is zero. Electron A is atrest; and electron B is moving westward with a constant velocity. A non-zero magnetic fielddirected eastward is then applied to the region. In what direction, if any, will each electron bemoving after the field is applied?

A Upward away from earth westward B at rest westwardC northward eastwardD at rest eastward

33 A proton is traveling south as it enters a region that contains a magnetic field. The proton isdeflected downward toward the earth. What is the direction of the magnetic field?

A downward B west C north D east

34 A long, straight wire carries a current I. If the magnetic field at a distance d from the wire hasmagnitude B, what is the magnitude of the magnetic field at a distance 2d from the wire?

A B/2 B 2B C B/4 D 4B

35 The current in a certain ac circuit is independent of the frequency at a given voltage. Whichcombination of elements is most likely to comprise the circuit?

A F/s B F • s C ΏD W b

36 A battery is used to drive a circuit. After a certain amount of time, the current is zero amperes. Whenthe same circuit is driven by an ac generator, the current is non-zero and alternates.

Whichcombination of elements is most likely to comprise the circuit?

A resistors only B inductors only C capacitors onlyD a combination of inductors and resistors

37 A variable inductor is connected to an ac source. What effect does increasing the inductance have onthe reactance and current in this circuit? Reactance Curren t

A no change no change B decreases no changeC decreases increasesD increases decreases

38 When the frequency of an ac circuit is increased at constant voltage, the current increases and thendecreases. Which combination of elements is most likely to comprise this circuit?

A resistors onlyB capacitors onlyC a combination of inductors and resistorsD a combination of inductors and capacitors

39 Which one of the following types of wave is intrinsically different from the other four?(a) (c) (e) visible light(b) (d)

A radio wavesB sound wavesC gamma raysD ultraviolet radiation

40 What is the correct order, beginning with shortest wavelength and extending to the longestwavelength, of the following colors in the visible light spectrum: blue, green, red, violet, andyellow?

A red, yellow, blue, green, violetB violet, blue, yellow, red, greenC red, yellow, green, blue, violetD violet, blue, green, yellow, red

41 Which one of the following statements concerning the energy carried by an electromagnetic waveis true?

A The energy is carried only by the electric field.B More energy is carried by the electric field than by the magnetic field.C The energy is carried equally by the electric and magnetic fields.D More energy is carried by the magnetic field than by the electric field.

42 The most convincing evidence that electromagnetic waves are transverse waves is that

A they can be polarized.B they carry energy through space.C they can travel through a material substance.D they do not require a physical medium for propagation.

43 Linearly polarized light is incident of a sheet of polarizing material. The angle between thetransmission axis and the incident electric field is 52°. What percentage of the incident intensityis transmitted?

A 38 % B 43 % C 52 % D 62 %

44 Which one of the following statements provides the most convincing evidence that visible light is a form of electromagnetic radiation?

A Two light sources can be coherent.B Light can be reflected from a surface.C Light can be diffracted through an aperture.D Light can form a double-slit interference pattern.

45 Which one of the following quantities is not necessarily conserved in nuclear reactions?

A electric chargeB number of protonsC linear momentumD angular momentum

46 The nucleus of a certain isotope of tin contains 68 neutrons and 50 protons. Which symbolcorrectly represents this isotope?

A

B

C

D

47 Which model of atomic structure was developed to explain the results of the

experiment shown?

A Bohr modelB nuclear atomC billiard ball atomD plum-pudding model

48 Which one of the following pairs of characteristics of light is best explained by assuming thatlight can be described in terms of photons?

A photoelectric effect and the effect observed in Young's experimentB diffraction and the formation of atomic spectraC polarization and the photoelectric effectD existence of line spectra and the photoelectric effect

49 Determine the wavelength of incident electromagnetic radiation required to cause an electron transition from the n = 6 to the n = 8 level in a hydrogen atom.

A 1.2 x103 nm B 2.2x 103 nmC 3.4 x 103 nmD 7.5 x 103 nm

50 Which one of the following statements concerning the cutoff wavelength typically exhibited in X-ray spectra is true?

A The cutoff wavelength depends on the target material.B The cutoff wavelength depends on the potential difference across the X-ray tube.C The cutoff wavelength is independent of the energy of the incident electrons.D The cutoff wavelength occurs because of the mutual shielding effects of K-shell

electrons

OBJECTIVE ANSWER SCHEME

N0 Answer No Answer

1 D 26 D2 C 27 C3 A 28 D4 A 29 C5 B 30 D6 B 31 D7 B 32 B8 A 33 B9 D 34 A10 B 35 C11 C 36 C12 D 37 D13 D 38 D14 B 39 B15 D 40 D16 D 41 C17 C 42 A18 D 43 A19 D 44 D20 C 45 B21 D 46 D22 B 47 B23 D 48 D24 C 49 D25 D 50 B